TSTP Solution File: SWV888-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV888-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:16:20 EDT 2024
% Result : Unsatisfiable 0.20s 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV888-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 26 22:21:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.mR2p4CQQPA/cvc5---1.0.5_12455.smt2
% 0.20/0.56 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.mR2p4CQQPA/cvc5---1.0.5_12455.smt2
% 0.20/0.56 (assume a0 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Oid V_x T_a) V_x)))
% 0.20/0.56 (assume a1 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_n $$unsorted)) (or (= V_t V_s) (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP V_s V_n V_t)))))
% 0.20/0.56 (assume a2 (forall ((V_v $$unsorted) (T_a $$unsorted)) (or (= V_v (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1 V_v T_a) T_a)) (= V_v (tptp.c_Option_Ooption_ONone T_a)))))
% 0.20/0.56 (assume a3 (forall ((V_n $$unsorted) (V_P $$unsorted) (V_s $$unsorted) (V_s1 $$unsorted)) (or (= V_n (tptp.c_Suc (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 V_P V_n V_s V_s1))) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY V_P) V_s V_n V_s1)))))
% 0.20/0.56 (assume a4 (forall ((V_c2 $$unsorted) (V_c1 $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevalc V_c2 (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 V_c1 V_c2 V_s V_t) V_t) (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_t)))))
% 0.20/0.56 (assume a5 (forall ((V_c1 $$unsorted) (V_s $$unsorted) (V_c2 $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevalc V_c1 V_s (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 V_c1 V_c2 V_s V_t)) (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_t)))))
% 0.20/0.56 (assume a6 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP))
% 0.20/0.56 (assume a7 (forall ((V_c0 $$unsorted) (V_c1 $$unsorted) (V_s0 $$unsorted) (V_n $$unsorted) (V_s2 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi V_c0 V_c1) V_s0 V_n V_s2) (not (tptp.c_Natural_Oevaln V_c1 V_s1 V_n V_s2)) (not (tptp.c_Natural_Oevaln V_c0 V_s0 V_n V_s1)))))
% 0.20/0.56 (assume a8 (forall ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a)))))
% 0.20/0.56 (assume a9 (forall ((T_a $$unsorted) (V_y $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.c_Option_Ooption_OSome V_y T_a)))))
% 0.20/0.56 (assume a10 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 V_c V_s V_t) V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))))
% 0.20/0.56 (assume a11 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1 V_x T_a) T_a)) (= V_x (tptp.c_Option_Ooption_ONone T_a)))))
% 0.20/0.56 (assume a12 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com2 V_com2_H))))
% 0.20/0.56 (assume a13 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com1 V_com1_H))))
% 0.20/0.56 (assume a14 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Option_Ooption_OSome V_a_H T_a) (tptp.c_Option_Ooption_ONone T_a)))))
% 0.20/0.56 (assume a15 (forall ((V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Option_Ooption_OSome V_xa T_a) (tptp.c_Option_Ooption_ONone T_a)))))
% 0.20/0.56 (assume a16 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Option_Ooption_OSome V_a T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a))) (= V_a V_a_H))))
% 0.20/0.56 (assume a17 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Suc V_x) (tptp.c_Suc V_y))) (= V_x V_y))))
% 0.20/0.56 (assume a18 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Suc V_nat) (tptp.c_Suc V_nat_H))) (= V_nat V_nat_H))))
% 0.20/0.56 (assume a19 (forall ((V_c2 $$unsorted) (V_c1 $$unsorted) (V_n $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c2 (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 V_c1 V_c2 V_n V_s V_t) V_n V_t) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_n V_t)))))
% 0.20/0.56 (assume a20 (forall ((V_c1 $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_c2 $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c1 V_s V_n (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 V_c1 V_c2 V_n V_s V_t)) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_n V_t)))))
% 0.20/0.56 (assume a21 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_s_H $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Suc V_n) V_s_H) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_s_H)))))
% 0.20/0.56 (assume a22 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x (tptp.c_Option_Ooption_ONone T_a)) (= V_x (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1 V_x T_a) T_a)))))
% 0.20/0.56 (assume a23 (forall ((V_s $$unsorted) (V_n $$unsorted)) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP V_s V_n V_s)))
% 0.20/0.56 (assume a24 (forall ((V_c2 $$unsorted) (V_c1 $$unsorted)) (or (tptp.c_Com_OWT V_c2) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi V_c1 V_c2))))))
% 0.20/0.56 (assume a25 (forall ((V_c1 $$unsorted) (V_c2 $$unsorted)) (or (tptp.c_Com_OWT V_c1) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi V_c1 V_c2))))))
% 0.20/0.56 (assume a26 (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H) tptp.c_Com_Ocom_OSKIP))))
% 0.20/0.56 (assume a27 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 V_c V_s V_t) V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))))
% 0.20/0.56 (assume a28 (forall ((V_c0 $$unsorted) (V_c1 $$unsorted)) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi V_c0 V_c1)) (not (tptp.c_Com_OWT V_c1)) (not (tptp.c_Com_OWT V_c0)))))
% 0.20/0.56 (assume a29 (forall ((V_pn $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Com_Obody V_pn) (tptp.c_Option_Ooption_OSome V_b tptp.tc_Com_Ocom))) (not tptp.c_Com_OWT__bodies) (tptp.c_Com_OWT V_b))))
% 0.20/0.56 (assume a30 (forall ((V_n $$unsorted)) (not (= (tptp.c_Suc V_n) V_n))))
% 0.20/0.56 (assume a31 (forall ((V_n $$unsorted)) (not (= V_n (tptp.c_Suc V_n)))))
% 0.20/0.56 (assume a32 (forall ((V_y $$unsorted) (T_a $$unsorted)) (or (= V_y (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1 V_y T_a) T_a)) (= V_y (tptp.c_Option_Ooption_ONone T_a)))))
% 0.20/0.56 (assume a33 (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H)))))
% 0.20/0.56 (assume a34 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Othe (tptp.c_Option_Ooption_OSome V_x T_a) T_a) V_x)))
% 0.20/0.56 (assume a35 (forall ((V_pn $$unsorted)) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY V_pn)) (= (tptp.c_Com_Obody V_pn) (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)))))
% 0.20/0.56 (assume a36 (forall ((V_pname_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OBODY V_pname_H) tptp.c_Com_Ocom_OSKIP))))
% 0.20/0.56 (assume a37 (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))))
% 0.20/0.56 (assume a38 (forall ((V_P $$unsorted) (V_s $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_P) tptp.tc_Com_Ocom) V_s V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_P) V_s V_s1)))))
% 0.20/0.56 (assume a39 (forall ((V_u $$unsorted) (V_t $$unsorted) (V_c $$unsorted) (V_s $$unsorted)) (or (= V_u V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_u)) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))))
% 0.20/0.56 (assume a40 (forall ((V_s $$unsorted)) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP V_s V_s)))
% 0.20/0.56 (assume a41 (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x))
% 0.20/0.56 (assume a42 (forall ((V_P $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.c_Option_Othe (tptp.c_Com_Obody V_P) tptp.tc_Com_Ocom) V_s (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 V_P V_n V_s V_s1) V_s1) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY V_P) V_s V_n V_s1)))))
% 0.20/0.56 (assume a43 (forall ((V_P $$unsorted)) (or (= (tptp.c_Com_Obody V_P) (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 V_P) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY V_P))))))
% 0.20/0.56 (assume a44 (forall ((V_pname_H $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted)) (not (= (tptp.c_Com_Ocom_OBODY V_pname_H) (tptp.c_Com_Ocom_OSemi V_com1 V_com2)))))
% 0.20/0.56 (assume a45 (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_pname_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OBODY V_pname_H)))))
% 0.20/0.56 (assume a46 (forall ((V_c0 $$unsorted) (V_c1 $$unsorted) (V_s0 $$unsorted) (V_s2 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c0 V_c1) V_s0 V_s2) (not (tptp.c_Natural_Oevalc V_c1 V_s1 V_s2)) (not (tptp.c_Natural_Oevalc V_c0 V_s0 V_s1)))))
% 0.20/0.56 (assume a47 (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_n $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY V_pn) V_s0 (tptp.c_Suc V_n) V_s1) (not (tptp.c_Natural_Oevaln (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_n V_s1)))))
% 0.20/0.56 (assume a48 (forall ((V_pname $$unsorted) (V_pname_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OBODY V_pname) (tptp.c_Com_Ocom_OBODY V_pname_H))) (= V_pname V_pname_H))))
% 0.20/0.56 (assume a49 (forall ((V_pname_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OBODY V_pname_H)))))
% 0.20/0.56 (assume a50 (forall ((V_t $$unsorted) (V_s $$unsorted)) (or (= V_t V_s) (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP V_s V_t)))))
% 0.20/0.56 (assume a51 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_n $$unsorted)) (or (tptp.c_Natural_Oevalc V_c V_s V_t) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_t)))))
% 0.20/0.56 (assume a52 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_x $$unsorted)) (or (tptp.c_Natural_Oevalc V_c V_s V_t) (not (tptp.c_Natural_Oevaln V_c V_s V_x V_t)))))
% 0.20/0.56 (assume a53 (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))
% 0.20/0.56 (assume a54 (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa)))
% 0.20/0.56 (step t1 (cl (=> (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1))))) :rule implies_neg1)
% 0.20/0.56 (anchor :step t2)
% 0.20/0.56 (assume t2.a0 (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))))
% 0.20/0.56 (step t2.t1 (cl (or (not (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1))))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))))) :rule forall_inst :args ((:= V_pn tptp.v_pn) (:= V_s0 tptp.v_x) (:= V_s1 tptp.v_xa)))
% 0.20/0.56 (step t2.t2 (cl (not (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1))))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) :rule or :premises (t2.t1))
% 0.20/0.56 (step t2.t3 (cl (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) :rule resolution :premises (t2.t2 t2.a0))
% 0.20/0.56 (step t2 (cl (not (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1))))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) :rule subproof :discharge (t2.a0))
% 0.20/0.56 (step t3 (cl (=> (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) :rule resolution :premises (t1 t2))
% 0.20/0.56 (step t4 (cl (=> (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) (not (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))))) :rule implies_neg2)
% 0.20/0.56 (step t5 (cl (=> (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) (=> (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))))) :rule resolution :premises (t3 t4))
% 0.20/0.56 (step t6 (cl (=> (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))))) :rule contraction :premises (t5))
% 0.20/0.56 (step t7 (cl (not (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1))))) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) :rule implies :premises (t6))
% 0.20/0.56 (step t8 (cl (not (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)))) (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))) :rule or_pos)
% 0.20/0.56 (step t9 (cl (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa)) (not (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))))) :rule reordering :premises (t8))
% 0.20/0.56 (step t10 (cl (not (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))))) :rule resolution :premises (t9 a54 a53))
% 0.20/0.56 (step t11 (cl) :rule resolution :premises (t7 t10 a37))
% 0.20/0.56
% 0.20/0.56 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.mR2p4CQQPA/cvc5---1.0.5_12455.smt2
% 0.37/0.57 % cvc5---1.0.5 exiting
% 0.37/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------